Indeed, the new guidelines ensure that Alex Drummond's gender identity must now not be undermined by the fact she has a beard.
You are missing the point here.
Drummond was getting the gig of going into schools & pontificating about Drummond's 'lesbian' credentials, beard & all, because schools thought - or at least some 'woke' PSHCE teachers & their Heads thought - that this was a great way to snaffle a few virtue signalling cookies.
Now more sensible colleagues can say 'woah hang on, this is all highly contentious & the govt guidelines actually say...'
& that's the end of it. School leadership teams do not like associating themselves with dodgy individuals & organisations, because they do not like seeing themselves taken the piss out of in the local press, or getting furious correspondence from parents.
They will err on the side of caution & veto the booking.
Alex & Alex's beard are OVER in schools.